Finding the Third Proportional to 85,866 and 114,651

Step by Step Solution

1. Step 1: Write the proportion equation
   85,866 : 114,651 = 114,651 : x
2. Step 2: Convert to fraction form
   85,866/114,651 = 114,651/x
3. Step 3: Cross multiply
   85,866x = 114,651 × 114,651
4. Step 4: Simplify right side
   85,866x = 13,144,851,801
5. Step 5: Solve for x
   x = 13,144,851,801/85,866
6. Step 6: Final answer
   x = 153,085.64