Finding the Third Proportional to 52,002 and 78,370.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,002 : 78,370.50 = 78,370.50 : x
2. Step 2: Convert to fraction form
   52,002/78,370.50 = 78,370.50/x
3. Step 3: Cross multiply
   52,002x = 78,370.50 × 78,370.50
4. Step 4: Simplify right side
   52,002x = 6,141,935,270.25
5. Step 5: Solve for x
   x = 6,141,935,270.25/52,002
6. Step 6: Final answer
   x = 118,109.60