Finding the Third Proportional to 65,153 and 101,624

Step by Step Solution

1. Step 1: Write the proportion equation
   65,153 : 101,624 = 101,624 : x
2. Step 2: Convert to fraction form
   65,153/101,624 = 101,624/x
3. Step 3: Cross multiply
   65,153x = 101,624 × 101,624
4. Step 4: Simplify right side
   65,153x = 10,327,437,376
5. Step 5: Solve for x
   x = 10,327,437,376/65,153
6. Step 6: Final answer
   x = 158,510.54