Finding the Third Proportional to 103,080 and 147,012

Step by Step Solution

1. Step 1: Write the proportion equation
   103,080 : 147,012 = 147,012 : x
2. Step 2: Convert to fraction form
   103,080/147,012 = 147,012/x
3. Step 3: Cross multiply
   103,080x = 147,012 × 147,012
4. Step 4: Simplify right side
   103,080x = 21,612,528,144
5. Step 5: Solve for x
   x = 21,612,528,144/103,080
6. Step 6: Final answer
   x = 209,667.52