Finding the Third Proportional to 77,631 and 109,870

Step by Step Solution

1. Step 1: Write the proportion equation
   77,631 : 109,870 = 109,870 : x
2. Step 2: Convert to fraction form
   77,631/109,870 = 109,870/x
3. Step 3: Cross multiply
   77,631x = 109,870 × 109,870
4. Step 4: Simplify right side
   77,631x = 12,071,416,900
5. Step 5: Solve for x
   x = 12,071,416,900/77,631
6. Step 6: Final answer
   x = 155,497.38