Finding the Third Proportional to 109,432 and 178,674

Step by Step Solution

1. Step 1: Write the proportion equation
   109,432 : 178,674 = 178,674 : x
2. Step 2: Convert to fraction form
   109,432/178,674 = 178,674/x
3. Step 3: Cross multiply
   109,432x = 178,674 × 178,674
4. Step 4: Simplify right side
   109,432x = 31,924,398,276
5. Step 5: Solve for x
   x = 31,924,398,276/109,432
6. Step 6: Final answer
   x = 291,728.18