Finding the Third Proportional to 136,188 and 298,213.50

Step by Step Solution

1. Step 1: Write the proportion equation
   136,188 : 298,213.50 = 298,213.50 : x
2. Step 2: Convert to fraction form
   136,188/298,213.50 = 298,213.50/x
3. Step 3: Cross multiply
   136,188x = 298,213.50 × 298,213.50
4. Step 4: Simplify right side
   136,188x = 88,931,291,582.25
5. Step 5: Solve for x
   x = 88,931,291,582.25/136,188
6. Step 6: Final answer
   x = 653,003.87