Finding the Third Proportional to 100,946 and 137,152

Step by Step Solution

1. Step 1: Write the proportion equation
   100,946 : 137,152 = 137,152 : x
2. Step 2: Convert to fraction form
   100,946/137,152 = 137,152/x
3. Step 3: Cross multiply
   100,946x = 137,152 × 137,152
4. Step 4: Simplify right side
   100,946x = 18,810,671,104
5. Step 5: Solve for x
   x = 18,810,671,104/100,946
6. Step 6: Final answer
   x = 186,343.90