Finding the Third Proportional to 186,688 and 293,639.50

Step by Step Solution

1. Step 1: Write the proportion equation
   186,688 : 293,639.50 = 293,639.50 : x
2. Step 2: Convert to fraction form
   186,688/293,639.50 = 293,639.50/x
3. Step 3: Cross multiply
   186,688x = 293,639.50 × 293,639.50
4. Step 4: Simplify right side
   186,688x = 86,224,155,960.25
5. Step 5: Solve for x
   x = 86,224,155,960.25/186,688
6. Step 6: Final answer
   x = 461,862.34