Finding the Third Proportional to 114,275.25 and 174,487.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,275.25 : 174,487.50 = 174,487.50 : x
2. Step 2: Convert to fraction form
   114,275.25/174,487.50 = 174,487.50/x
3. Step 3: Cross multiply
   114,275.25x = 174,487.50 × 174,487.50
4. Step 4: Simplify right side
   114,275.25x = 30,445,887,656.25
5. Step 5: Solve for x
   x = 30,445,887,656.25/114,275.25
6. Step 6: Final answer
   x = 266,425.91