Finding the Third Proportional to 52,830.38 and 78,372.56

Step by Step Solution

1. Step 1: Write the proportion equation
   52,830.38 : 78,372.56 = 78,372.56 : x
2. Step 2: Convert to fraction form
   52,830.38/78,372.56 = 78,372.56/x
3. Step 3: Cross multiply
   52,830.38x = 78,372.56 × 78,372.56
4. Step 4: Simplify right side
   52,830.38x = 6,142,258,552.82
5. Step 5: Solve for x
   x = 6,142,258,552.82/52,830.38
6. Step 6: Final answer
   x = 116,263.77