Finding the Third Proportional to 84,830,071,375 and 184,553,771,267

Step by Step Solution

1. Step 1: Write the proportion equation
   84,830,071,375 : 184,553,771,267 = 184,553,771,267 : x
2. Step 2: Convert to fraction form
   84,830,071,375/184,553,771,267 = 184,553,771,267/x
3. Step 3: Cross multiply
   84,830,071,375x = 184,553,771,267 × 184,553,771,267
4. Step 4: Simplify right side
   84,830,071,375x = 34,060,094,488,872,155,611,136
5. Step 5: Solve for x
   x = 34,060,094,488,872,155,611,136/84,830,071,375
6. Step 6: Final answer
   x = 401,509,676,189.07