Finding the Third Proportional to 76,111 and 164,417.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,111 : 164,417.50 = 164,417.50 : x
2. Step 2: Convert to fraction form
   76,111/164,417.50 = 164,417.50/x
3. Step 3: Cross multiply
   76,111x = 164,417.50 × 164,417.50
4. Step 4: Simplify right side
   76,111x = 27,033,114,306.25
5. Step 5: Solve for x
   x = 27,033,114,306.25/76,111
6. Step 6: Final answer
   x = 355,180.12