Finding the Third Proportional to 118,791 and 256,147.50

Step by Step Solution

1. Step 1: Write the proportion equation
   118,791 : 256,147.50 = 256,147.50 : x
2. Step 2: Convert to fraction form
   118,791/256,147.50 = 256,147.50/x
3. Step 3: Cross multiply
   118,791x = 256,147.50 × 256,147.50
4. Step 4: Simplify right side
   118,791x = 65,611,541,756.25
5. Step 5: Solve for x
   x = 65,611,541,756.25/118,791
6. Step 6: Final answer
   x = 552,327.55