Finding the Third Proportional to 78,005.25 and 152,122.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,005.25 : 152,122.50 = 152,122.50 : x
2. Step 2: Convert to fraction form
   78,005.25/152,122.50 = 152,122.50/x
3. Step 3: Cross multiply
   78,005.25x = 152,122.50 × 152,122.50
4. Step 4: Simplify right side
   78,005.25x = 23,141,255,006.25
5. Step 5: Solve for x
   x = 23,141,255,006.25/78,005.25
6. Step 6: Final answer
   x = 296,662.79