Finding the Third Proportional to 178,498 and 386,385.50

Step by Step Solution

1. Step 1: Write the proportion equation
   178,498 : 386,385.50 = 386,385.50 : x
2. Step 2: Convert to fraction form
   178,498/386,385.50 = 386,385.50/x
3. Step 3: Cross multiply
   178,498x = 386,385.50 × 386,385.50
4. Step 4: Simplify right side
   178,498x = 149,293,754,610.25
5. Step 5: Solve for x
   x = 149,293,754,610.25/178,498
6. Step 6: Final answer
   x = 836,388.95