Finding the Third Proportional to 117,102 and 186,196.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,102 : 186,196.50 = 186,196.50 : x
2. Step 2: Convert to fraction form
   117,102/186,196.50 = 186,196.50/x
3. Step 3: Cross multiply
   117,102x = 186,196.50 × 186,196.50
4. Step 4: Simplify right side
   117,102x = 34,669,136,612.25
5. Step 5: Solve for x
   x = 34,669,136,612.25/117,102
6. Step 6: Final answer
   x = 296,059.30