Finding the Third Proportional to 65,822 and 102,113

Step by Step Solution

1. Step 1: Write the proportion equation
   65,822 : 102,113 = 102,113 : x
2. Step 2: Convert to fraction form
   65,822/102,113 = 102,113/x
3. Step 3: Cross multiply
   65,822x = 102,113 × 102,113
4. Step 4: Simplify right side
   65,822x = 10,427,064,769
5. Step 5: Solve for x
   x = 10,427,064,769/65,822
6. Step 6: Final answer
   x = 158,413.07