Finding the Third Proportional to 78,139 and 121,069.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,139 : 121,069.50 = 121,069.50 : x
2. Step 2: Convert to fraction form
   78,139/121,069.50 = 121,069.50/x
3. Step 3: Cross multiply
   78,139x = 121,069.50 × 121,069.50
4. Step 4: Simplify right side
   78,139x = 14,657,823,830.25
5. Step 5: Solve for x
   x = 14,657,823,830.25/78,139
6. Step 6: Final answer
   x = 187,586.53