Finding the Third Proportional to 76,461 and 179,899.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,461 : 179,899.50 = 179,899.50 : x
2. Step 2: Convert to fraction form
   76,461/179,899.50 = 179,899.50/x
3. Step 3: Cross multiply
   76,461x = 179,899.50 × 179,899.50
4. Step 4: Simplify right side
   76,461x = 32,363,830,100.25
5. Step 5: Solve for x
   x = 32,363,830,100.25/76,461
6. Step 6: Final answer
   x = 423,272.39