Finding the Third Proportional to 97,402.50 and 206,833.50

Step by Step Solution

1. Step 1: Write the proportion equation
   97,402.50 : 206,833.50 = 206,833.50 : x
2. Step 2: Convert to fraction form
   97,402.50/206,833.50 = 206,833.50/x
3. Step 3: Cross multiply
   97,402.50x = 206,833.50 × 206,833.50
4. Step 4: Simplify right side
   97,402.50x = 42,780,096,722.25
5. Step 5: Solve for x
   x = 42,780,096,722.25/97,402.50
6. Step 6: Final answer
   x = 439,209.43