Finding the Third Proportional to 63,814.50 and 137,106

Step by Step Solution

1. Step 1: Write the proportion equation
   63,814.50 : 137,106 = 137,106 : x
2. Step 2: Convert to fraction form
   63,814.50/137,106 = 137,106/x
3. Step 3: Cross multiply
   63,814.50x = 137,106 × 137,106
4. Step 4: Simplify right side
   63,814.50x = 18,798,055,236
5. Step 5: Solve for x
   x = 18,798,055,236/63,814.50
6. Step 6: Final answer
   x = 294,573.42