Finding the Third Proportional to 364,106 and 774,139

Step by Step Solution

1. Step 1: Write the proportion equation
   364,106 : 774,139 = 774,139 : x
2. Step 2: Convert to fraction form
   364,106/774,139 = 774,139/x
3. Step 3: Cross multiply
   364,106x = 774,139 × 774,139
4. Step 4: Simplify right side
   364,106x = 599,291,191,321
5. Step 5: Solve for x
   x = 599,291,191,321/364,106
6. Step 6: Final answer
   x = 1,645,925.06