Finding the Third Proportional to 52,407 and 78,853.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,407 : 78,853.50 = 78,853.50 : x
2. Step 2: Convert to fraction form
   52,407/78,853.50 = 78,853.50/x
3. Step 3: Cross multiply
   52,407x = 78,853.50 × 78,853.50
4. Step 4: Simplify right side
   52,407x = 6,217,874,462.25
5. Step 5: Solve for x
   x = 6,217,874,462.25/52,407
6. Step 6: Final answer
   x = 118,645.88