Finding the Third Proportional to 83,295 and 187,495.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,295 : 187,495.50 = 187,495.50 : x
2. Step 2: Convert to fraction form
   83,295/187,495.50 = 187,495.50/x
3. Step 3: Cross multiply
   83,295x = 187,495.50 × 187,495.50
4. Step 4: Simplify right side
   83,295x = 35,154,562,520.25
5. Step 5: Solve for x
   x = 35,154,562,520.25/83,295
6. Step 6: Final answer
   x = 422,048.89