Finding the Third Proportional to 49,265 and 76,427.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,265 : 76,427.50 = 76,427.50 : x
2. Step 2: Convert to fraction form
   49,265/76,427.50 = 76,427.50/x
3. Step 3: Cross multiply
   49,265x = 76,427.50 × 76,427.50
4. Step 4: Simplify right side
   49,265x = 5,841,162,756.25
5. Step 5: Solve for x
   x = 5,841,162,756.25/49,265
6. Step 6: Final answer
   x = 118,566.18