Finding the Third Proportional to 77,864.63 and 111,346.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,864.63 : 111,346.50 = 111,346.50 : x
2. Step 2: Convert to fraction form
   77,864.63/111,346.50 = 111,346.50/x
3. Step 3: Cross multiply
   77,864.63x = 111,346.50 × 111,346.50
4. Step 4: Simplify right side
   77,864.63x = 12,398,043,062.25
5. Step 5: Solve for x
   x = 12,398,043,062.25/77,864.63
6. Step 6: Final answer
   x = 159,225.62