Finding the Third Proportional to 127,155 and 194,152.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,155 : 194,152.50 = 194,152.50 : x
2. Step 2: Convert to fraction form
   127,155/194,152.50 = 194,152.50/x
3. Step 3: Cross multiply
   127,155x = 194,152.50 × 194,152.50
4. Step 4: Simplify right side
   127,155x = 37,695,193,256.25
5. Step 5: Solve for x
   x = 37,695,193,256.25/127,155
6. Step 6: Final answer
   x = 296,450.74