Finding the Third Proportional to 83,153 and 147,838

Step by Step Solution

1. Step 1: Write the proportion equation
   83,153 : 147,838 = 147,838 : x
2. Step 2: Convert to fraction form
   83,153/147,838 = 147,838/x
3. Step 3: Cross multiply
   83,153x = 147,838 × 147,838
4. Step 4: Simplify right side
   83,153x = 21,856,074,244
5. Step 5: Solve for x
   x = 21,856,074,244/83,153
6. Step 6: Final answer
   x = 262,841.68