Finding the Third Proportional to 127,119 and 186,784.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,119 : 186,784.50 = 186,784.50 : x
2. Step 2: Convert to fraction form
   127,119/186,784.50 = 186,784.50/x
3. Step 3: Cross multiply
   127,119x = 186,784.50 × 186,784.50
4. Step 4: Simplify right side
   127,119x = 34,888,449,440.25
5. Step 5: Solve for x
   x = 34,888,449,440.25/127,119
6. Step 6: Final answer
   x = 274,455.03