Finding the Third Proportional to 118,200.50 and 177,422

Step by Step Solution

1. Step 1: Write the proportion equation
   118,200.50 : 177,422 = 177,422 : x
2. Step 2: Convert to fraction form
   118,200.50/177,422 = 177,422/x
3. Step 3: Cross multiply
   118,200.50x = 177,422 × 177,422
4. Step 4: Simplify right side
   118,200.50x = 31,478,566,084
5. Step 5: Solve for x
   x = 31,478,566,084/118,200.50
6. Step 6: Final answer
   x = 266,315.00