Finding the Third Proportional to 119,835 and 187,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,835 : 187,978.50 = 187,978.50 : x
2. Step 2: Convert to fraction form
   119,835/187,978.50 = 187,978.50/x
3. Step 3: Cross multiply
   119,835x = 187,978.50 × 187,978.50
4. Step 4: Simplify right side
   119,835x = 35,335,916,462.25
5. Step 5: Solve for x
   x = 35,335,916,462.25/119,835
6. Step 6: Final answer
   x = 294,871.42