Finding the Third Proportional to 117,988 and 186,916.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,988 : 186,916.50 = 186,916.50 : x
2. Step 2: Convert to fraction form
   117,988/186,916.50 = 186,916.50/x
3. Step 3: Cross multiply
   117,988x = 186,916.50 × 186,916.50
4. Step 4: Simplify right side
   117,988x = 34,937,777,972.25
5. Step 5: Solve for x
   x = 34,937,777,972.25/117,988
6. Step 6: Final answer
   x = 296,112.98