Finding the Third Proportional to 101,199 and 152,061

Step by Step Solution

1. Step 1: Write the proportion equation
   101,199 : 152,061 = 152,061 : x
2. Step 2: Convert to fraction form
   101,199/152,061 = 152,061/x
3. Step 3: Cross multiply
   101,199x = 152,061 × 152,061
4. Step 4: Simplify right side
   101,199x = 23,122,547,721
5. Step 5: Solve for x
   x = 23,122,547,721/101,199
6. Step 6: Final answer
   x = 228,485.93