Finding the Third Proportional to 105,160 and 147,557

Step by Step Solution

1. Step 1: Write the proportion equation
   105,160 : 147,557 = 147,557 : x
2. Step 2: Convert to fraction form
   105,160/147,557 = 147,557/x
3. Step 3: Cross multiply
   105,160x = 147,557 × 147,557
4. Step 4: Simplify right side
   105,160x = 21,773,068,249
5. Step 5: Solve for x
   x = 21,773,068,249/105,160
6. Step 6: Final answer
   x = 207,047.05