Finding the Third Proportional to 119,652 and 185,247.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,652 : 185,247.50 = 185,247.50 : x
2. Step 2: Convert to fraction form
   119,652/185,247.50 = 185,247.50/x
3. Step 3: Cross multiply
   119,652x = 185,247.50 × 185,247.50
4. Step 4: Simplify right side
   119,652x = 34,316,636,256.25
5. Step 5: Solve for x
   x = 34,316,636,256.25/119,652
6. Step 6: Final answer
   x = 286,803.70