Finding the Third Proportional to 72,461 and 114,528

Step by Step Solution

1. Step 1: Write the proportion equation
   72,461 : 114,528 = 114,528 : x
2. Step 2: Convert to fraction form
   72,461/114,528 = 114,528/x
3. Step 3: Cross multiply
   72,461x = 114,528 × 114,528
4. Step 4: Simplify right side
   72,461x = 13,116,662,784
5. Step 5: Solve for x
   x = 13,116,662,784/72,461
6. Step 6: Final answer
   x = 181,016.86