Finding the Third Proportional to 101,190 and 152,111

Step by Step Solution

1. Step 1: Write the proportion equation
   101,190 : 152,111 = 152,111 : x
2. Step 2: Convert to fraction form
   101,190/152,111 = 152,111/x
3. Step 3: Cross multiply
   101,190x = 152,111 × 152,111
4. Step 4: Simplify right side
   101,190x = 23,137,756,321
5. Step 5: Solve for x
   x = 23,137,756,321/101,190
6. Step 6: Final answer
   x = 228,656.55