Finding the Third Proportional to 523,350 and 830,061

Step by Step Solution

1. Step 1: Write the proportion equation
   523,350 : 830,061 = 830,061 : x
2. Step 2: Convert to fraction form
   523,350/830,061 = 830,061/x
3. Step 3: Cross multiply
   523,350x = 830,061 × 830,061
4. Step 4: Simplify right side
   523,350x = 689,001,263,721
5. Step 5: Solve for x
   x = 689,001,263,721/523,350
6. Step 6: Final answer
   x = 1,316,521.00