Finding the Third Proportional to 49,302 and 115,762.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,302 : 115,762.50 = 115,762.50 : x
2. Step 2: Convert to fraction form
   49,302/115,762.50 = 115,762.50/x
3. Step 3: Cross multiply
   49,302x = 115,762.50 × 115,762.50
4. Step 4: Simplify right side
   49,302x = 13,400,956,406.25
5. Step 5: Solve for x
   x = 13,400,956,406.25/49,302
6. Step 6: Final answer
   x = 271,813.65