Finding the Third Proportional to 72,773 and 109,429

Step by Step Solution

1. Step 1: Write the proportion equation
   72,773 : 109,429 = 109,429 : x
2. Step 2: Convert to fraction form
   72,773/109,429 = 109,429/x
3. Step 3: Cross multiply
   72,773x = 109,429 × 109,429
4. Step 4: Simplify right side
   72,773x = 11,974,706,041
5. Step 5: Solve for x
   x = 11,974,706,041/72,773
6. Step 6: Final answer
   x = 164,548.75