Finding the Third Proportional to 78,136 and 120,446

Step by Step Solution

1. Step 1: Write the proportion equation
   78,136 : 120,446 = 120,446 : x
2. Step 2: Convert to fraction form
   78,136/120,446 = 120,446/x
3. Step 3: Cross multiply
   78,136x = 120,446 × 120,446
4. Step 4: Simplify right side
   78,136x = 14,507,238,916
5. Step 5: Solve for x
   x = 14,507,238,916/78,136
6. Step 6: Final answer
   x = 185,666.52