Finding the Third Proportional to 114,528 and 174,877.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,528 : 174,877.50 = 174,877.50 : x
2. Step 2: Convert to fraction form
   114,528/174,877.50 = 174,877.50/x
3. Step 3: Cross multiply
   114,528x = 174,877.50 × 174,877.50
4. Step 4: Simplify right side
   114,528x = 30,582,140,006.25
5. Step 5: Solve for x
   x = 30,582,140,006.25/114,528
6. Step 6: Final answer
   x = 267,027.63