Finding the Third Proportional to 402,296 and 554,167.50

Step by Step Solution

1. Step 1: Write the proportion equation
   402,296 : 554,167.50 = 554,167.50 : x
2. Step 2: Convert to fraction form
   402,296/554,167.50 = 554,167.50/x
3. Step 3: Cross multiply
   402,296x = 554,167.50 × 554,167.50
4. Step 4: Simplify right side
   402,296x = 307,101,618,056.25
5. Step 5: Solve for x
   x = 307,101,618,056.25/402,296
6. Step 6: Final answer
   x = 763,372.29