Finding the Third Proportional to 76,454 and 118,089.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,454 : 118,089.50 = 118,089.50 : x
2. Step 2: Convert to fraction form
   76,454/118,089.50 = 118,089.50/x
3. Step 3: Cross multiply
   76,454x = 118,089.50 × 118,089.50
4. Step 4: Simplify right side
   76,454x = 13,945,130,010.25
5. Step 5: Solve for x
   x = 13,945,130,010.25/76,454
6. Step 6: Final answer
   x = 182,398.96