Finding the Third Proportional to 76,664 and 114,528

Step by Step Solution

1. Step 1: Write the proportion equation
   76,664 : 114,528 = 114,528 : x
2. Step 2: Convert to fraction form
   76,664/114,528 = 114,528/x
3. Step 3: Cross multiply
   76,664x = 114,528 × 114,528
4. Step 4: Simplify right side
   76,664x = 13,116,662,784
5. Step 5: Solve for x
   x = 13,116,662,784/76,664
6. Step 6: Final answer
   x = 171,092.86