Finding the Third Proportional to 77,870 and 111,353.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,870 : 111,353.50 = 111,353.50 : x
2. Step 2: Convert to fraction form
   77,870/111,353.50 = 111,353.50/x
3. Step 3: Cross multiply
   77,870x = 111,353.50 × 111,353.50
4. Step 4: Simplify right side
   77,870x = 12,399,601,962.25
5. Step 5: Solve for x
   x = 12,399,601,962.25/77,870
6. Step 6: Final answer
   x = 159,234.65