Finding the Third Proportional to 71,506.50 and 105,194.25

Step by Step Solution

1. Step 1: Write the proportion equation
   71,506.50 : 105,194.25 = 105,194.25 : x
2. Step 2: Convert to fraction form
   71,506.50/105,194.25 = 105,194.25/x
3. Step 3: Cross multiply
   71,506.50x = 105,194.25 × 105,194.25
4. Step 4: Simplify right side
   71,506.50x = 11,065,830,233.06
5. Step 5: Solve for x
   x = 11,065,830,233.06/71,506.50
6. Step 6: Final answer
   x = 154,752.79