Finding the Third Proportional to 76,140 and 109,674

Step by Step Solution

1. Step 1: Write the proportion equation
   76,140 : 109,674 = 109,674 : x
2. Step 2: Convert to fraction form
   76,140/109,674 = 109,674/x
3. Step 3: Cross multiply
   76,140x = 109,674 × 109,674
4. Step 4: Simplify right side
   76,140x = 12,028,386,276
5. Step 5: Solve for x
   x = 12,028,386,276/76,140
6. Step 6: Final answer
   x = 157,977.23