Finding the Third Proportional to 116,641.13 and 185,688

Step by Step Solution

1. Step 1: Write the proportion equation
   116,641.13 : 185,688 = 185,688 : x
2. Step 2: Convert to fraction form
   116,641.13/185,688 = 185,688/x
3. Step 3: Cross multiply
   116,641.13x = 185,688 × 185,688
4. Step 4: Simplify right side
   116,641.13x = 34,480,033,344
5. Step 5: Solve for x
   x = 34,480,033,344/116,641.13
6. Step 6: Final answer
   x = 295,607.86