Finding the Third Proportional to 403,791 and 588,159.50

Step by Step Solution

1. Step 1: Write the proportion equation
   403,791 : 588,159.50 = 588,159.50 : x
2. Step 2: Convert to fraction form
   403,791/588,159.50 = 588,159.50/x
3. Step 3: Cross multiply
   403,791x = 588,159.50 × 588,159.50
4. Step 4: Simplify right side
   403,791x = 345,931,597,440.25
5. Step 5: Solve for x
   x = 345,931,597,440.25/403,791
6. Step 6: Final answer
   x = 856,709.53