Finding the Third Proportional to 78,624 and 113,339.25

Step by Step Solution

1. Step 1: Write the proportion equation
   78,624 : 113,339.25 = 113,339.25 : x
2. Step 2: Convert to fraction form
   78,624/113,339.25 = 113,339.25/x
3. Step 3: Cross multiply
   78,624x = 113,339.25 × 113,339.25
4. Step 4: Simplify right side
   78,624x = 12,845,785,590.56
5. Step 5: Solve for x
   x = 12,845,785,590.56/78,624
6. Step 6: Final answer
   x = 163,382.50