Finding the Third Proportional to 38,142 and 78,934.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,142 : 78,934.50 = 78,934.50 : x
2. Step 2: Convert to fraction form
   38,142/78,934.50 = 78,934.50/x
3. Step 3: Cross multiply
   38,142x = 78,934.50 × 78,934.50
4. Step 4: Simplify right side
   38,142x = 6,230,655,290.25
5. Step 5: Solve for x
   x = 6,230,655,290.25/38,142
6. Step 6: Final answer
   x = 163,354.18