Finding the Third Proportional to 78,461 and 111,811.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,461 : 111,811.50 = 111,811.50 : x
2. Step 2: Convert to fraction form
   78,461/111,811.50 = 111,811.50/x
3. Step 3: Cross multiply
   78,461x = 111,811.50 × 111,811.50
4. Step 4: Simplify right side
   78,461x = 12,501,811,532.25
5. Step 5: Solve for x
   x = 12,501,811,532.25/78,461
6. Step 6: Final answer
   x = 159,337.91