Finding the Third Proportional to 52,136.50 and 114,641

Step by Step Solution

1. Step 1: Write the proportion equation
   52,136.50 : 114,641 = 114,641 : x
2. Step 2: Convert to fraction form
   52,136.50/114,641 = 114,641/x
3. Step 3: Cross multiply
   52,136.50x = 114,641 × 114,641
4. Step 4: Simplify right side
   52,136.50x = 13,142,558,881
5. Step 5: Solve for x
   x = 13,142,558,881/52,136.50
6. Step 6: Final answer
   x = 252,079.81