Finding the Third Proportional to 114,535 and 174,232.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,535 : 174,232.50 = 174,232.50 : x
2. Step 2: Convert to fraction form
   114,535/174,232.50 = 174,232.50/x
3. Step 3: Cross multiply
   114,535x = 174,232.50 × 174,232.50
4. Step 4: Simplify right side
   114,535x = 30,356,964,056.25
5. Step 5: Solve for x
   x = 30,356,964,056.25/114,535
6. Step 6: Final answer
   x = 265,045.31