Finding the Third Proportional to 52,158 and 78,201.38

Step by Step Solution

1. Step 1: Write the proportion equation
   52,158 : 78,201.38 = 78,201.38 : x
2. Step 2: Convert to fraction form
   52,158/78,201.38 = 78,201.38/x
3. Step 3: Cross multiply
   52,158x = 78,201.38 × 78,201.38
4. Step 4: Simplify right side
   52,158x = 6,115,455,051.89
5. Step 5: Solve for x
   x = 6,115,455,051.89/52,158
6. Step 6: Final answer
   x = 117,248.65