Finding the Third Proportional to 83,346 and 185,124

Step by Step Solution

1. Step 1: Write the proportion equation
   83,346 : 185,124 = 185,124 : x
2. Step 2: Convert to fraction form
   83,346/185,124 = 185,124/x
3. Step 3: Cross multiply
   83,346x = 185,124 × 185,124
4. Step 4: Simplify right side
   83,346x = 34,270,895,376
5. Step 5: Solve for x
   x = 34,270,895,376/83,346
6. Step 6: Final answer
   x = 411,188.24