Finding the Third Proportional to 127,577.63 and 187,675.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,577.63 : 187,675.50 = 187,675.50 : x
2. Step 2: Convert to fraction form
   127,577.63/187,675.50 = 187,675.50/x
3. Step 3: Cross multiply
   127,577.63x = 187,675.50 × 187,675.50
4. Step 4: Simplify right side
   127,577.63x = 35,222,093,300.25
5. Step 5: Solve for x
   x = 35,222,093,300.25/127,577.63
6. Step 6: Final answer
   x = 276,083.63