Finding the Third Proportional to 82,893 and 127,485.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,893 : 127,485.50 = 127,485.50 : x
2. Step 2: Convert to fraction form
   82,893/127,485.50 = 127,485.50/x
3. Step 3: Cross multiply
   82,893x = 127,485.50 × 127,485.50
4. Step 4: Simplify right side
   82,893x = 16,252,552,710.25
5. Step 5: Solve for x
   x = 16,252,552,710.25/82,893
6. Step 6: Final answer
   x = 196,066.65