Finding the Third Proportional to 66,764 and 103,089.50

Step by Step Solution

1. Step 1: Write the proportion equation
   66,764 : 103,089.50 = 103,089.50 : x
2. Step 2: Convert to fraction form
   66,764/103,089.50 = 103,089.50/x
3. Step 3: Cross multiply
   66,764x = 103,089.50 × 103,089.50
4. Step 4: Simplify right side
   66,764x = 10,627,445,010.25
5. Step 5: Solve for x
   x = 10,627,445,010.25/66,764
6. Step 6: Final answer
   x = 159,179.27