Finding the Third Proportional to 127,341 and 193,927.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,341 : 193,927.50 = 193,927.50 : x
2. Step 2: Convert to fraction form
   127,341/193,927.50 = 193,927.50/x
3. Step 3: Cross multiply
   127,341x = 193,927.50 × 193,927.50
4. Step 4: Simplify right side
   127,341x = 37,607,875,256.25
5. Step 5: Solve for x
   x = 37,607,875,256.25/127,341
6. Step 6: Final answer
   x = 295,332.02