Finding the Third Proportional to 72,261 and 102,704

Step by Step Solution

1. Step 1: Write the proportion equation
   72,261 : 102,704 = 102,704 : x
2. Step 2: Convert to fraction form
   72,261/102,704 = 102,704/x
3. Step 3: Cross multiply
   72,261x = 102,704 × 102,704
4. Step 4: Simplify right side
   72,261x = 10,548,111,616
5. Step 5: Solve for x
   x = 10,548,111,616/72,261
6. Step 6: Final answer
   x = 145,972.40