Finding the Third Proportional to 165,627 and 357,493.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,627 : 357,493.50 = 357,493.50 : x
2. Step 2: Convert to fraction form
   165,627/357,493.50 = 357,493.50/x
3. Step 3: Cross multiply
   165,627x = 357,493.50 × 357,493.50
4. Step 4: Simplify right side
   165,627x = 127,801,602,542.25
5. Step 5: Solve for x
   x = 127,801,602,542.25/165,627
6. Step 6: Final answer
   x = 771,623.00