Finding the Third Proportional to 52,003 and 85,420.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,003 : 85,420.50 = 85,420.50 : x
2. Step 2: Convert to fraction form
   52,003/85,420.50 = 85,420.50/x
3. Step 3: Cross multiply
   52,003x = 85,420.50 × 85,420.50
4. Step 4: Simplify right side
   52,003x = 7,296,661,820.25
5. Step 5: Solve for x
   x = 7,296,661,820.25/52,003
6. Step 6: Final answer
   x = 140,312.32