Finding the Third Proportional to 364,994 and 780,429

Step by Step Solution

1. Step 1: Write the proportion equation
   364,994 : 780,429 = 780,429 : x
2. Step 2: Convert to fraction form
   364,994/780,429 = 780,429/x
3. Step 3: Cross multiply
   364,994x = 780,429 × 780,429
4. Step 4: Simplify right side
   364,994x = 609,069,424,041
5. Step 5: Solve for x
   x = 609,069,424,041/364,994
6. Step 6: Final answer
   x = 1,668,710.78