Finding the Third Proportional to 51,458 and 77,308.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,458 : 77,308.50 = 77,308.50 : x
2. Step 2: Convert to fraction form
   51,458/77,308.50 = 77,308.50/x
3. Step 3: Cross multiply
   51,458x = 77,308.50 × 77,308.50
4. Step 4: Simplify right side
   51,458x = 5,976,604,172.25
5. Step 5: Solve for x
   x = 5,976,604,172.25/51,458
6. Step 6: Final answer
   x = 116,145.29