Finding the Third Proportional to 77,535 and 111,784.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,535 : 111,784.50 = 111,784.50 : x
2. Step 2: Convert to fraction form
   77,535/111,784.50 = 111,784.50/x
3. Step 3: Cross multiply
   77,535x = 111,784.50 × 111,784.50
4. Step 4: Simplify right side
   77,535x = 12,495,774,440.25
5. Step 5: Solve for x
   x = 12,495,774,440.25/77,535
6. Step 6: Final answer
   x = 161,163.02