Finding the Third Proportional to 78,924 and 114,238.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,924 : 114,238.50 = 114,238.50 : x
2. Step 2: Convert to fraction form
   78,924/114,238.50 = 114,238.50/x
3. Step 3: Cross multiply
   78,924x = 114,238.50 × 114,238.50
4. Step 4: Simplify right side
   78,924x = 13,050,434,882.25
5. Step 5: Solve for x
   x = 13,050,434,882.25/78,924
6. Step 6: Final answer
   x = 165,354.45