Finding the Third Proportional to 65,490 and 100,114

Step by Step Solution

1. Step 1: Write the proportion equation
   65,490 : 100,114 = 100,114 : x
2. Step 2: Convert to fraction form
   65,490/100,114 = 100,114/x
3. Step 3: Cross multiply
   65,490x = 100,114 × 100,114
4. Step 4: Simplify right side
   65,490x = 10,022,812,996
5. Step 5: Solve for x
   x = 10,022,812,996/65,490
6. Step 6: Final answer
   x = 153,043.41