Finding the Third Proportional to 76,477.50 and 164,029.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,477.50 : 164,029.50 = 164,029.50 : x
2. Step 2: Convert to fraction form
   76,477.50/164,029.50 = 164,029.50/x
3. Step 3: Cross multiply
   76,477.50x = 164,029.50 × 164,029.50
4. Step 4: Simplify right side
   76,477.50x = 26,905,676,870.25
5. Step 5: Solve for x
   x = 26,905,676,870.25/76,477.50
6. Step 6: Final answer
   x = 351,811.67