Finding the Third Proportional to 101,188 and 152,108

Step by Step Solution

1. Step 1: Write the proportion equation
   101,188 : 152,108 = 152,108 : x
2. Step 2: Convert to fraction form
   101,188/152,108 = 152,108/x
3. Step 3: Cross multiply
   101,188x = 152,108 × 152,108
4. Step 4: Simplify right side
   101,188x = 23,136,843,664
5. Step 5: Solve for x
   x = 23,136,843,664/101,188
6. Step 6: Final answer
   x = 228,652.05