Finding the Third Proportional to 77,572 and 123,030

Step by Step Solution

1. Step 1: Write the proportion equation
   77,572 : 123,030 = 123,030 : x
2. Step 2: Convert to fraction form
   77,572/123,030 = 123,030/x
3. Step 3: Cross multiply
   77,572x = 123,030 × 123,030
4. Step 4: Simplify right side
   77,572x = 15,136,380,900
5. Step 5: Solve for x
   x = 15,136,380,900/77,572
6. Step 6: Final answer
   x = 195,126.86