Finding the Third Proportional to 71,770.50 and 147,123

Step by Step Solution

1. Step 1: Write the proportion equation
   71,770.50 : 147,123 = 147,123 : x
2. Step 2: Convert to fraction form
   71,770.50/147,123 = 147,123/x
3. Step 3: Cross multiply
   71,770.50x = 147,123 × 147,123
4. Step 4: Simplify right side
   71,770.50x = 21,645,177,129
5. Step 5: Solve for x
   x = 21,645,177,129/71,770.50
6. Step 6: Final answer
   x = 301,588.77