Finding the Third Proportional to 77,913 and 111,415.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,913 : 111,415.50 = 111,415.50 : x
2. Step 2: Convert to fraction form
   77,913/111,415.50 = 111,415.50/x
3. Step 3: Cross multiply
   77,913x = 111,415.50 × 111,415.50
4. Step 4: Simplify right side
   77,913x = 12,413,413,640.25
5. Step 5: Solve for x
   x = 12,413,413,640.25/77,913
6. Step 6: Final answer
   x = 159,324.04