Finding the Third Proportional to 72,465 and 114,534

Step by Step Solution

1. Step 1: Write the proportion equation
   72,465 : 114,534 = 114,534 : x
2. Step 2: Convert to fraction form
   72,465/114,534 = 114,534/x
3. Step 3: Cross multiply
   72,465x = 114,534 × 114,534
4. Step 4: Simplify right side
   72,465x = 13,118,037,156
5. Step 5: Solve for x
   x = 13,118,037,156/72,465
6. Step 6: Final answer
   x = 181,025.84