Finding the Third Proportional to 52,007 and 78,469.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,007 : 78,469.50 = 78,469.50 : x
2. Step 2: Convert to fraction form
   52,007/78,469.50 = 78,469.50/x
3. Step 3: Cross multiply
   52,007x = 78,469.50 × 78,469.50
4. Step 4: Simplify right side
   52,007x = 6,157,462,430.25
5. Step 5: Solve for x
   x = 6,157,462,430.25/52,007
6. Step 6: Final answer
   x = 118,396.80