Finding the Third Proportional to 84,830,071,372 and 184,553,771,261

Step by Step Solution

1. Step 1: Write the proportion equation
   84,830,071,372 : 184,553,771,261 = 184,553,771,261 : x
2. Step 2: Convert to fraction form
   84,830,071,372/184,553,771,261 = 184,553,771,261/x
3. Step 3: Cross multiply
   84,830,071,372x = 184,553,771,261 × 184,553,771,261
4. Step 4: Simplify right side
   84,830,071,372x = 34,060,094,486,657,508,573,184
5. Step 5: Solve for x
   x = 34,060,094,486,657,508,573,184/84,830,071,372
6. Step 6: Final answer
   x = 401,509,676,177.17