Finding the Third Proportional to 70,553 and 105,820

Step by Step Solution

1. Step 1: Write the proportion equation
   70,553 : 105,820 = 105,820 : x
2. Step 2: Convert to fraction form
   70,553/105,820 = 105,820/x
3. Step 3: Cross multiply
   70,553x = 105,820 × 105,820
4. Step 4: Simplify right side
   70,553x = 11,197,872,400
5. Step 5: Solve for x
   x = 11,197,872,400/70,553
6. Step 6: Final answer
   x = 158,715.75